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100120320242202 = 23132961211895151
BaseRepresentation
bin10110110000111100010100…
…000111110111001000011010
3111010111102001021002010111110
4112300330110013313020122
5101110332403440222302
6552534350135041150
730042311604262341
oct2660742407671032
9433442037063443
10100120320242202
11299a0875710a77
12b28bba48101b6
1343b33c8797830
141aa1bc68bab58
15b8955c931b6c
hex5b0f141f721a

100120320242202 has 96 divisors (see below), whose sum is σ = 226796774480640. Its totient is φ = 29256359328000.

The previous prime is 100120320242119. The next prime is 100120320242203. The reversal of 100120320242202 is 202242023021001.

It is not an unprimeable number, because it can be changed into a prime (100120320242203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2469327 + ... + 14364477.

It is an arithmetic number, because the mean of its divisors is an integer number (2362466400840).

Almost surely, 2100120320242202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120320242202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113398387240320).

100120320242202 is an abundant number, since it is smaller than the sum of its proper divisors (126676454238438).

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

100120320242202 is a wasteful number, since it uses less digits than its factorization.

100120320242202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895320 (or 11895259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100120320242202 its reverse (202242023021001), we get a palindrome (302362343263203).

The spelling of 100120320242202 in words is "one hundred trillion, one hundred twenty billion, three hundred twenty million, two hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 13 26 29 39 58 61 78 87 122 174 183 366 377 754 793 1131 1586 1769 2262 2379 3538 3721 4758 5307 7442 10614 11163 22326 22997 45994 48373 68991 96746 107909 137982 145119 215818 290238 323727 647454 1402817 2805634 4208451 8416902 11895151 23790302 35685453 71370906 154636963 309273926 344959379 463910889 689918758 725604211 927821778 1034878137 1451208422 2069756274 2176812633 4353625266 4484471927 8968943854 9432854743 13453415781 18865709486 21042522119 26906831562 28298564229 42085044238 44261856871 56597128458 63127566357 88523713742 126255132714 132785570613 265571141226 273552787547 547105575094 575404139323 820658362641 1150808278646 1283593849259 1641316725282 1726212417969 2567187698518 3452424835938 3850781547777 7701563095554 16686720040367 33373440080734 50060160121101 100120320242202