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101001000201200 = 24521185093269761
BaseRepresentation
bin10110111101110000100000…
…101111010010101111110000
3111020121121020100210102212122
4112331300200233102233300
5101214300022022414300
6554451115143013412
730163036640360621
oct2675604057225760
9436547210712778
10101001000201200
112a200313583030
12b3b280673a268
1344484796bc3c8
141ad2690019a48
15ba2403c56c85
hex5bdc20bd2bf0

101001000201200 has 120 divisors (see below), whose sum is σ = 264718531806096. Its totient is φ = 36727068672000.

The previous prime is 101001000201191. The next prime is 101001000201287. The reversal of 101001000201200 is 2102000100101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374274320 + ... + 374544080.

Almost surely, 2101001000201200 is an apocalyptic number.

101001000201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001000201200 is an abundant number, since it is smaller than the sum of its proper divisors (163717531604896).

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

101001000201200 is a wasteful number, since it uses less digits than its factorization.

101001000201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354883 (or 354872 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101001000201200 its reverse (2102000100101), we get a palindrome (103103000301301).

The spelling of 101001000201200 in words is "one hundred one trillion, one billion, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 85093 170186 269761 340372 425465 539522 680744 850930 936023 1079044 1348805 1361488 1701860 1872046 2127325 2158088 2697610 2967371 3403720 3744092 4254650 4316176 4680115 5395220 5934742 6744025 6807440 7488184 8509300 9360230 10790440 11869484 13488050 14836855 14976368 17018600 18720460 21580880 23400575 23738968 26976100 29673710 34037200 37440920 46801150 47477936 53952200 59347420 74184275 74881840 93602300 107904400 118694840 148368550 187204600 237389680 296737100 374409200 593474200 1186948400 22954772773 45909545546 91819091092 114773863865 183638182184 229547727730 252502500503 367276364368 459095455460 505005001006 573869319325 918190910920 1010010002012 1147738638650 1262512502515 1836381821840 2020020004024 2295477277300 2525025005030 4040040008048 4590954554600 5050050010060 6312562512575 9181909109200 10100100020120 12625125025150 20200200040240 25250250050300 50500500100600 101001000201200