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120100022001 = 34232915714159
BaseRepresentation
bin110111111011010000…
…1001110011011110001
3102110222222101020220000
41233312201032123301
53431431101201001
6131101224140213
711451122225511
oct1576641163361
9373888336800
10120100022001
1146a30371133
121b339307669
13b42cb37b9b
145b54741841
1531cdb61a86
hex1bf684e6f1

120100022001 has 80 divisors (see below), whose sum is σ = 194911833600. Its totient is φ = 73468467072.

The previous prime is 120100021969. The next prime is 120100022027. The reversal of 120100022001 is 100220001021.

It is not a de Polignac number, because 120100022001 - 25 = 120100021969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120100022201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8475160 + ... + 8489318.

It is an arithmetic number, because the mean of its divisors is an integer number (2436397920).

Almost surely, 2120100022001 is an apocalyptic number.

It is an amenable number.

120100022001 is a deficient number, since it is larger than the sum of its proper divisors (74811811599).

120100022001 is a wasteful number, since it uses less digits than its factorization.

120100022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14380 (or 14371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120100022001 its reverse (100220001021), we get a palindrome (220320023022).

The spelling of 120100022001 in words is "one hundred twenty billion, one hundred million, twenty-two thousand, one".

Divisors: 1 3 9 23 27 29 69 81 87 157 207 261 471 621 667 783 1413 1863 2001 2349 3611 4239 4553 6003 10833 12717 13659 14159 18009 32499 40977 42477 54027 97497 104719 122931 127431 292491 314157 325657 368793 382293 410611 942471 976971 1146879 1231833 2222963 2827413 2930913 3695499 6668889 8482239 8792739 9444053 11086497 20006667 26378217 28332159 33259491 51128149 60020001 64465927 84996477 153384447 180060003 193397781 254989431 460153341 580193343 764968293 1380460023 1482716321 1740580029 4141380069 4448148963 5221740087 13344446889 40033340667 120100022001