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102130301241400 = 235210110369487603
BaseRepresentation
bin10111001110001100010000…
…010100111000100000111000
3111101121120011021221021101111
4113032030100110320200320
5101341300324104211100
61001114002423330104
730340446034004425
oct2716142024704070
9441546137837344
10102130301241400
112a5a6243579223
12b5556532b0934
1344caaccac5993
141b311c0b84d4c
15bc199bcb76ba
hex5ce310538838

102130301241400 has 96 divisors (see below), whose sum is σ = 239827588556400. Its totient is φ = 40443660288000.

The previous prime is 102130301241361. The next prime is 102130301241427. The reversal of 102130301241400 is 4142103031201.

It is a super-2 number, since 2×1021303012414002 (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 23 ways as a sum of consecutive naturals, for example, 209209999 + ... + 209697601.

Almost surely, 2102130301241400 is an apocalyptic number.

102130301241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130301241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119913794278200).

102130301241400 is an abundant number, since it is smaller than the sum of its proper divisors (137697287315000).

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

102130301241400 is a wasteful number, since it uses less digits than its factorization.

102130301241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498089 (or 498080 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102130301241400 its reverse (4142103031201), we get a palindrome (106272404272601).

The spelling of 102130301241400 in words is "one hundred two trillion, one hundred thirty billion, three hundred one million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 10369 20200 20738 41476 51845 82952 103690 207380 259225 414760 487603 518450 975206 1036900 1047269 1950412 2073800 2094538 2438015 3900824 4189076 4876030 5236345 8378152 9752060 10472690 12190075 19504120 20945380 24380150 26181725 41890760 48760300 49247903 52363450 97520600 98495806 104726900 196991612 209453800 246239515 393983224 492479030 984958060 1231197575 1969916120 2462395150 4924790300 5055955507 9849580600 10111911014 20223822028 25279777535 40447644056 50559555070 101119110140 126398887675 202238220280 252797775350 505595550700 510651506207 1011191101400 1021303012414 2042606024828 2553257531035 4085212049656 5106515062070 10213030124140 12766287655175 20426060248280 25532575310350 51065150620700 102130301241400