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101210001211020 = 223513317294089521
BaseRepresentation
bin10111000000110011001010…
…001010110111111010001100
3111021100120201000001210121010
4113000303022022313322030
5101231211040302223040
6555131122132005220
730214116115553022
oct2700631212677214
9437316630053533
10101210001211020
112a280a14165119
12b427214760810
1344620a67533a0
141adc8396d6712
15ba7a87506e80
hex5c0cca2b7e8c

101210001211020 has 96 divisors (see below), whose sum is σ = 305196773757120. Its totient is φ = 24912439787520.

The previous prime is 101210001210973. The next prime is 101210001211031. The reversal of 101210001211020 is 20112100012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101210001210987 and 101210001211005.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22703860 + ... + 26793380.

It is an arithmetic number, because the mean of its divisors is an integer number (3179133059970).

Almost surely, 2101210001211020 is an apocalyptic number.

101210001211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210001211020 is an abundant number, since it is smaller than the sum of its proper divisors (203986772546100).

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

101210001211020 is a wasteful number, since it uses less digits than its factorization.

101210001211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121275 (or 4121273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101210001211020 its reverse (20112100012101), we get a palindrome (121322101223121).

The spelling of 101210001211020 in words is "one hundred one trillion, two hundred ten billion, one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 31729 63458 95187 126916 158645 190374 317290 380748 412477 475935 634580 824954 951870 1237431 1649908 1903740 2062385 2474862 4089521 4124770 4949724 6187155 8179042 8249540 12268563 12374310 16358084 20447605 24537126 24748620 40895210 49074252 53163773 61342815 81790420 106327546 122685630 159491319 212655092 245371260 265818865 318982638 531637730 637965276 797456595 1063275460 1594913190 3189826380 129756411809 259512823618 389269235427 519025647236 648782059045 778538470854 1297564118090 1557076941708 1686833353517 1946346177135 2595128236180 3373666707034 3892692354270 5060500060551 6747333414068 7785384708540 8434166767585 10121000121102 16868333535170 20242000242204 25302500302755 33736667070340 50605000605510 101210001211020