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101331202021104 = 24311419458031397
BaseRepresentation
bin10111000010100100000010…
…010011010001011011110000
3111021210011112200202212212010
4113002210002103101123300
5101240202300204133404
6555302524522002520
730225636435466326
oct2702440223213360
9437704480685763
10101331202021104
112a318359929670
12b4467ba646440
134470650656863
141b046562ddd16
15baacccb08189
hex5c29024d16f0

101331202021104 has 80 divisors (see below), whose sum is σ = 286251302494080. Its totient is φ = 30633139764480.

The previous prime is 101331202021009. The next prime is 101331202021129. The reversal of 101331202021104 is 401120202133101.

It is a super-2 number, since 2×1013312020211042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228794467 + ... + 229236930.

It is an arithmetic number, because the mean of its divisors is an integer number (3578141281176).

Almost surely, 2101331202021104 is an apocalyptic number.

It is an amenable number.

101331202021104 is an abundant number, since it is smaller than the sum of its proper divisors (184920100472976).

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

101331202021104 is a wasteful number, since it uses less digits than its factorization.

101331202021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458031838 (or 458031832 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101331202021104 its reverse (401120202133101), we get a palindrome (502451404154205).

The spelling of 101331202021104 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 419 528 838 1257 1676 2514 3352 4609 5028 6704 9218 10056 13827 18436 20112 27654 36872 55308 73744 110616 221232 458031397 916062794 1374094191 1832125588 2748188382 3664251176 5038345367 5496376764 7328502352 10076690734 10992753528 15115036101 20153381468 21985507056 30230072202 40306762936 60460144404 80613525872 120920288808 191915155343 241840577616 383830310686 575745466029 767660621372 1151490932058 1535321242744 2111066708773 2302981864116 3070642485488 4222133417546 4605963728232 6333200126319 8444266835092 9211927456464 12666400252638 16888533670184 25332800505276 33777067340368 50665601010552 101331202021104