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101211002420 = 22511488994099
BaseRepresentation
bin101111001000010100…
…1010101011000110100
3100200020120100122021012
41132100221111120310
53124240004034140
6114255023011352
710212050216543
oct1362051253064
9320216318235
10101211002420
1139a17a77150
1217747439b58
13970c686b18
144c81c1615a
1529756ea265
hex1790a55634

101211002420 has 48 divisors (see below), whose sum is σ = 231915096000. Its totient is φ = 36796081920.

The previous prime is 101211002407. The next prime is 101211002471. The reversal of 101211002420 is 24200112101.

It is a happy number.

It is a super-2 number, since 2×1012110024202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211002395 and 101211002404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028531 + ... + 1122629.

It is an arithmetic number, because the mean of its divisors is an integer number (4831564500).

Almost surely, 2101211002420 is an apocalyptic number.

101211002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211002420 is an abundant number, since it is smaller than the sum of its proper divisors (130704093580).

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

101211002420 is a wasteful number, since it uses less digits than its factorization.

101211002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99008 (or 99006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101211002420 its reverse (24200112101), we get a palindrome (125411114521).

The spelling of 101211002420 in words is "one hundred one billion, two hundred eleven million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4889 9778 19556 24445 48890 53779 94099 97780 107558 188198 215116 268895 376396 470495 537790 940990 1035089 1075580 1881980 2070178 4140356 5175445 10350890 20701780 460050011 920100022 1840200044 2300250055 4600500110 5060550121 9201000220 10121100242 20242200484 25302750605 50605501210 101211002420