Search a number
-
+
100101021019974 = 23313210968772849
BaseRepresentation
bin10110110000101010010101…
…110011001010111101000110
3111010102120020021012001122000
4112300222111303022331012
5101110023342340114344
6552521435121450130
730041026421506332
oct2660522563127506
9433376207161560
10100101021019974
1129993671812737
12b2882b94a0946
1343b1641342300
141aa0cb56d27c2
15b88ccd48da69
hex5b0a95ccaf46

100101021019974 has 48 divisors (see below), whose sum is σ = 240874251786000. Its totient is φ = 30800314157184.

The previous prime is 100101021019957. The next prime is 100101021019997. The reversal of 100101021019974 is 479910120101001.

It is a happy number.

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, 5484377299 + ... + 5484395550.

It is an arithmetic number, because the mean of its divisors is an integer number (5018213578875).

Almost surely, 2100101021019974 is an apocalyptic number.

100101021019974 is an abundant number, since it is smaller than the sum of its proper divisors (140773230766026).

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

100101021019974 is a wasteful number, since it uses less digits than its factorization.

100101021019974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10968772886 (or 10968772867 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 100101021019974 in words is "one hundred trillion, one hundred one billion, twenty-one million, nineteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 10968772849 21937545698 32906318547 65812637094 98718955641 142594047037 197437911282 285188094074 296156866923 427782141111 592313733846 855564282222 1283346423333 1853722611481 2566692846666 3707445222962 3850039269999 5561167834443 7700078539998 11122335668886 16683503503329 33367007006658 50050510509987 100101021019974