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102022221200120 = 235131959887172427
BaseRepresentation
bin10111001100100111100110…
…010000001111101011111000
3111101020020012000021022020122
4113030213212100033223320
5101333013002111400440
61000552210021112412
730326601514551314
oct2714474620175370
9441206160238218
10102022221200120
112a564421176561
12b53870b558708
1344c08672ca030
141b29c8a982b44
15bbdc735217b5
hex5cc9e640faf8

102022221200120 has 128 divisors (see below), whose sum is σ = 260224475212800. Its totient is φ = 35686322274816.

The previous prime is 102022221200117. The next prime is 102022221200131. The reversal of 102022221200120 is 21002122220201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591597347 + ... + 591769773.

It is an arithmetic number, because the mean of its divisors is an integer number (2033003712600).

Almost surely, 2102022221200120 is an apocalyptic number.

102022221200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022221200120 is an abundant number, since it is smaller than the sum of its proper divisors (158202254012680).

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

102022221200120 is a wasteful number, since it uses less digits than its factorization.

102022221200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232357 (or 232353 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102022221200120 its reverse (21002122220201), we get a palindrome (123024343420321).

The spelling of 102022221200120 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 59887 119774 172427 239548 299435 344854 479096 598870 689708 778531 862135 1137853 1197740 1379416 1557062 1724270 2241551 2275706 2395480 3114124 3276113 3448540 3892655 4483102 4551412 5689265 6228248 6552226 6897080 7785310 8966204 9102824 11207755 11378530 13104452 14792089 15570620 16380565 17932408 22415510 22757060 26208904 29584178 31141240 32761130 42589469 44831020 45514120 59168356 65522260 73960445 85178938 89662040 118336712 131044520 147920890 170357876 212947345 295841780 340715752 425894690 591683560 851789380 1703578760 10326135749 20652271498 41304542996 51630678745 82609085992 103261357490 134239764737 196196579231 206522714980 268479529474 392393158462 413045429960 536959058948 671198823685 784786316924 980982896155 1073918117896 1342397647370 1569572633848 1961965792310 2550555530003 2684795294740 3923931584620 5101111060006 5369590589480 7847863169240 10202222120012 12752777650015 20404444240024 25505555300030 51011110600060 102022221200120