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122130023100 = 223521513976791
BaseRepresentation
bin111000110111110000…
…1000100001010111100
3102200020110011222212220
41301233201010022330
54000110241214400
6132034502125340
711552332032201
oct1615741041274
9380213158786
10122130023100
1147882239a98
121b805120850
13b694587877
145ca81a9ca8
15329be9d7a0
hex1c6f8442bc

122130023100 has 144 divisors (see below), whose sum is σ = 356651506176. Its totient is φ = 32266080000.

The previous prime is 122130023089. The next prime is 122130023117. The reversal of 122130023100 is 1320031221.

It is a super-2 number, since 2×1221300231002 (a number of 23 digits) contains 22 as substring.

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 122130023100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17980705 + ... + 17987495.

Almost surely, 2122130023100 is an apocalyptic number.

122130023100 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 122130023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178325753088).

122130023100 is an abundant number, since it is smaller than the sum of its proper divisors (234521483076).

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

122130023100 is a wasteful number, since it uses less digits than its factorization.

122130023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7349 counting only the distinct ones).

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

Adding to 122130023100 its reverse (1320031221), we get a palindrome (123450054321).

The spelling of 122130023100 in words is "one hundred twenty-two billion, one hundred thirty million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 397 453 604 755 794 906 1191 1510 1588 1812 1985 2265 2382 3020 3775 3970 4530 4764 5955 6791 7550 7940 9060 9925 11325 11910 13582 15100 19850 20373 22650 23820 27164 29775 33955 39700 40746 45300 59550 59947 67910 81492 101865 119100 119894 135820 169775 179841 203730 239788 299735 339550 359682 407460 509325 599470 679100 719364 899205 1018650 1025441 1198940 1498675 1798410 2037300 2050882 2696027 2997350 3076323 3596820 4101764 4496025 5127205 5392054 5994700 6152646 8088081 8992050 10254410 10784108 12305292 13480135 15381615 16176162 17984100 20508820 25636025 26960270 30763230 32352324 40440405 51272050 53920540 61526460 67400675 76908075 80880810 102544100 134801350 153816150 161761620 202202025 269602700 307632300 404404050 407100077 808808100 814200154 1221300231 1628400308 2035500385 2442600462 4071000770 4885200924 6106501155 8142001540 10177501925 12213002310 20355003850 24426004620 30532505775 40710007700 61065011550 122130023100