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101402411220 = 22345115690371
BaseRepresentation
bin101111001110000001…
…1100000000011010100
3100200201220112012210000
41132130003200003110
53130133004124340
6114330021331300
710216563162645
oct1363403400324
9320656465700
10101402411220
113a006021440
121779b566b30
139740223876
144c9d3dd6cc
152987408d30
hex179c0e00d4

101402411220 has 120 divisors (see below), whose sum is σ = 347021646048. Its totient is φ = 24582398400.

The previous prime is 101402411207. The next prime is 101402411221. The reversal of 101402411220 is 22114204101.

101402411220 is a `hidden beast` number, since 1 + 0 + 1 + 402 + 41 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101402411193 and 101402411202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101402411221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2827366 + ... + 2863005.

Almost surely, 2101402411220 is an apocalyptic number.

101402411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101402411220 is an abundant number, since it is smaller than the sum of its proper divisors (245619234828).

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

101402411220 is a wasteful number, since it uses less digits than its factorization.

101402411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690403 (or 5690392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101402411220 its reverse (22114204101), we get a palindrome (123516615321).

The spelling of 101402411220 in words is "one hundred one billion, four hundred two million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 5690371 11380742 17071113 22761484 28451855 34142226 51213339 56903710 62594081 68284452 85355565 102426678 113807420 125188162 153640017 170711130 187782243 204853356 250376324 256066695 307280034 312970405 341422260 375564486 460920051 512133390 563346729 614560068 625940810 751128972 768200085 921840102 938911215 1024266780 1126693458 1251881620 1536400170 1690040187 1843680204 1877822430 2253386916 2304600255 2816733645 3072800340 3380080374 3755644860 4609200510 5070120561 5633467290 6760160748 8450200935 9218401020 10140241122 11266934580 16900401870 20280482244 25350602805 33800803740 50701205610 101402411220