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10157123100124 = 22711134099618869
BaseRepresentation
bin1001001111001110001110…
…1101101101110111011100
31022222000022101001202010001
42103303203231231313130
52312403242003200444
633334041250224044
72065553656560310
oct223634355556734
938860271052101
1010157123100124
113266680215780
121180627b85024
13588a74381910
14271870921b40
151293240558d4
hex93ce3b6dddc

10157123100124 has 96 divisors (see below), whose sum is σ = 23871548736000. Its totient is φ = 3652014332160.

The previous prime is 10157123100121. The next prime is 10157123100127. The reversal of 10157123100124 is 42100132175101.

It is an interprime number because it is at equal distance from previous prime (10157123100121) and next prime (10157123100127).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10157123100092 and 10157123100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157123100121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16102962 + ... + 16721830.

It is an arithmetic number, because the mean of its divisors is an integer number (248661966000).

Almost surely, 210157123100124 is an apocalyptic number.

10157123100124 is a gapful number since it is divisible by the number (14) 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 10157123100124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11935774368000).

10157123100124 is an abundant number, since it is smaller than the sum of its proper divisors (13714425635876).

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

10157123100124 is a wasteful number, since it uses less digits than its factorization.

10157123100124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623003 (or 623001 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 10157123100124 its reverse (42100132175101), we get a palindrome (52257255275225).

The spelling of 10157123100124 in words is "ten trillion, one hundred fifty-seven billion, one hundred twenty-three million, one hundred thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 4099 8198 16396 28693 45089 53287 57386 90178 106574 114772 180356 213148 315623 373009 586157 618869 631246 746018 1172314 1237738 1262492 1492036 2344628 2475476 4103099 4332083 6807559 8045297 8206198 8664166 13615118 16090594 16412396 17328332 27230236 32181188 47652913 56317079 88498267 95305826 112634158 176996534 190611652 225268316 353993068 619487869 1238975738 2477951476 2536744031 5073488062 10146976124 17757208217 27904184341 32977672403 35514416434 55808368682 65955344806 71028832868 111616737364 131910689612 195329290387 230843706821 362754396433 390658580774 461687413642 725508792866 781317161548 923374827284 1451017585732 2539280775031 5078561550062 10157123100124