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120230013020100 = 223525339191929481
BaseRepresentation
bin11011010101100100111011…
…001101111010011111000100
3120202200212200022212010000220
4123111210323031322133010
5111224322031313120400
61103412523330104340
734216221542455404
oct3325447315723704
9522625608763026
10120230013020100
1135344297a61655
121159947011b0b0
13521184571c329
1421992411c8804
15dd76d29267a0
hex6d593b37a7c4

120230013020100 has 144 divisors (see below), whose sum is σ = 354519626791680. Its totient is φ = 31448362982400.

The previous prime is 120230013020099. The next prime is 120230013020107. The reversal of 120230013020100 is 1020310032021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120230013020100.

It is not an unprimeable number, because it can be changed into a prime (120230013020107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61347360 + ... + 63276840.

It is an arithmetic number, because the mean of its divisors is an integer number (2461941852720).

Almost surely, 2120230013020100 is an apocalyptic number.

120230013020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120230013020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177259813395840).

120230013020100 is an abundant number, since it is smaller than the sum of its proper divisors (234289613771580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120230013020100 is a wasteful number, since it uses less digits than its factorization.

120230013020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933470 (or 1933463 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120230013020100 its reverse (1020310032021), we get a palindrome (121250323052121).

The spelling of 120230013020100 in words is "one hundred twenty trillion, two hundred thirty billion, thirteen million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3919 3975 5300 7838 7950 11757 15676 15900 19595 23514 39190 47028 58785 78380 97975 117570 195950 207707 235140 293925 391900 415414 587850 623121 830828 1038535 1175700 1246242 1929481 2077070 2492484 3115605 3858962 4154140 5192675 5788443 6231210 7717924 9647405 10385350 11576886 12462420 15578025 19294810 20770700 23153772 28942215 31156050 38589620 48237025 57884430 62312100 96474050 102262493 115768860 144711075 192948100 204524986 289422150 306787479 409049972 511312465 578844300 613574958 1022624930 1227149916 1533937395 2045249860 2556562325 3067874790 5113124650 6135749580 7561636039 7669686975 10226249300 15123272078 15339373950 22684908117 30246544156 30678747900 37808180195 45369816234 75616360390 90739632468 113424540585 151232720780 189040900975 226849081170 378081801950 400766710067 453698162340 567122702925 756163603900 801533420134 1134245405850 1202300130201 1603066840268 2003833550335 2268490811700 2404600260402 4007667100670 4809200520804 6011500651005 8015334201340 10019167751675 12023001302010 20038335503350 24046002604020 30057503255025 40076671006700 60115006510050 120230013020100