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10122000011130 = 2357311173389431
BaseRepresentation
bin1001001101001011011000…
…1101110000111101111010
31022211122122120202221211010
42103102312031300331322
52311314324000324010
633305552124414350
72063201411336040
oct223226615607572
938748576687733
1010122000011130
1132527971430a7
1211758653a73b6
135856677c2017
1426dc9bd34390
1512846a7ae620
hex934b6370f7a

10122000011130 has 128 divisors (see below), whose sum is σ = 27868854214656. Its totient is φ = 2304804268800.

The previous prime is 10122000011083. The next prime is 10122000011141. The reversal of 10122000011130 is 3111000022101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113137515 + ... + 113226945.

It is an arithmetic number, because the mean of its divisors is an integer number (217725423552).

Almost surely, 210122000011130 is an apocalyptic number.

10122000011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122000011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934427107328).

10122000011130 is an abundant number, since it is smaller than the sum of its proper divisors (17746854203526).

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

10122000011130 is a wasteful number, since it uses less digits than its factorization.

10122000011130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91492.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10122000011130 its reverse (3111000022101), we get a palindrome (13233000033231).

The spelling of 10122000011130 in words is "ten trillion, one hundred twenty-two billion, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 933 1555 1733 1866 2177 3110 3466 4354 4665 5199 6531 8665 9330 10398 10885 12131 13062 17330 21770 24262 25995 32655 36393 51990 60655 65310 72786 89431 121310 178862 181965 268293 363930 447155 536586 538963 626017 894310 1077926 1252034 1341465 1616889 1878051 2682930 2694815 3130085 3233778 3756102 3772741 5389630 6260170 7545482 8084445 9390255 11318223 16168890 18780510 18863705 22636446 27813041 37727410 55626082 56591115 83439123 113182230 139065205 154983923 166878246 194691287 278130410 309967846 389382574 417195615 464951769 584073861 774919615 834391230 929903538 973456435 1084887461 1168147722 1549839230 1946912870 2169774922 2324758845 2920369305 3254662383 4649517690 5424437305 5840738610 6509324766 10848874610 16273311915 32546623830 48200000053 96400000106 144600000159 241000000265 289200000318 337400000371 482000000530 674800000742 723000000795 1012200001113 1446000001590 1687000001855 2024400002226 3374000003710 5061000005565 10122000011130