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101400032023002 = 232137257159997021
BaseRepresentation
bin10111000011100100001000…
…111000111001000111011010
3111022000202012120120021001200
4113003210020320321013122
5101242314231144214002
6555354310455455030
730233624215034646
oct2703441070710732
9438022176507050
10101400032023002
112a34456a646859
12b458009687476
134476c9c58282b
141b07b05795c26
15bac9aa657b1c
hex5c3908e391da

101400032023002 has 48 divisors (see below), whose sum is σ = 222164824880232. Its totient is φ = 33422737489920.

The previous prime is 101400032022941. The next prime is 101400032023013. The reversal of 101400032023002 is 200320230004101.

101400032023002 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 0 + 0 + 320 + 2 + 300 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100963730821041 + 436301201961 = 10048071^2 + 660531^2 .

It is a super-3 number, since 3×1014000320230023 (a number of 43 digits) contains 333 as substring.

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

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, 79364749 + ... + 80632272.

Almost surely, 2101400032023002 is an apocalyptic number.

101400032023002 is an abundant number, since it is smaller than the sum of its proper divisors (120764792857230).

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

101400032023002 is a wasteful number, since it uses less digits than its factorization.

101400032023002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159997423 (or 159997420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101400032023002 its reverse (200320230004101), we get a palindrome (301720262027103).

The spelling of 101400032023002 in words is "one hundred one trillion, four hundred billion, thirty-two million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 137 257 274 411 514 771 822 1233 1542 2313 2466 4626 35209 70418 105627 211254 316881 633762 159997021 319994042 479991063 959982126 1439973189 2879946378 21919591877 41119234397 43839183754 65758775631 82238468794 123357703191 131517551262 197276326893 246715406382 370073109573 394552653786 740146219146 5633335112389 11266670224778 16900005337167 33800010674334 50700016011501 101400032023002