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102000101130 = 23253753577937
BaseRepresentation
bin101111011111110101…
…1100000011100001010
3100202021120012000012100
41132333223200130022
53132344011214010
6114505212054230
710240441361064
oct1367753403412
9322246160170
10102000101130
113a292441744
1217927764376
139806cc0b35
144d18944734
1529beb1c2c0
hex17bfae070a

102000101130 has 96 divisors (see below), whose sum is σ = 277507333584. Its totient is φ = 25965508608.

The previous prime is 102000101101. The next prime is 102000101149. The reversal of 102000101130 is 31101000201.

It can be written as a sum of positive squares in 8 ways, for example, as 58323699009 + 43676402121 = 241503^2 + 208989^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112479 + ... + 465458.

Almost surely, 2102000101130 is an apocalyptic number.

102000101130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102000101130 is an abundant number, since it is smaller than the sum of its proper divisors (175507232454).

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

102000101130 is a wasteful number, since it uses less digits than its factorization.

102000101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578040 (or 578037 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102000101130 its reverse (31101000201), we get a palindrome (133101101331).

The spelling of 102000101130 in words is "one hundred two billion, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 53 74 90 106 111 159 185 222 265 318 333 370 477 530 555 666 795 954 1110 1590 1665 1961 2385 3330 3922 4770 5883 9805 11766 17649 19610 29415 35298 58830 88245 176490 577937 1155874 1733811 2889685 3467622 5201433 5779370 8669055 10402866 17338110 21383669 26007165 30630661 42767338 52014330 61261322 64151007 91891983 106918345 128302014 153153305 183783966 192453021 213836690 275675949 306306610 320755035 384906042 459459915 551351898 641510070 918919830 962265105 1133334457 1378379745 1924530210 2266668914 2756759490 3400003371 5666672285 6800006742 10200010113 11333344570 17000016855 20400020226 34000033710 51000050565 102000101130