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101213132130 = 232511980310429
BaseRepresentation
bin101111001000011000…
…1011101010101100010
3100200020201100211200100
41132100301131111202
53124241030212010
6114255140403230
710212104266605
oct1362061352542
9320221324610
10101213132130
1139a191a1240
12177480a6516
13970cc512c6
144c8220c33c
1529759bb2c0
hex1790c5d562

101213132130 has 96 divisors (see below), whose sum is σ = 287134061760. Its totient is φ = 24531661440.

The previous prime is 101213132081. The next prime is 101213132131. The reversal of 101213132130 is 31231312101.

101213132130 is a `hidden beast` number, since 101 + 213 + 1 + 321 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101213132131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9699756 + ... + 9710184.

It is an arithmetic number, because the mean of its divisors is an integer number (2990979810).

Almost surely, 2101213132130 is an apocalyptic number.

101213132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101213132130 is an abundant number, since it is smaller than the sum of its proper divisors (185920929630).

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

101213132130 is a wasteful number, since it uses less digits than its factorization.

101213132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256 (or 20253 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101213132130 its reverse (31231312101), we get a palindrome (132444444231).

The spelling of 101213132130 in words is "one hundred one billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 9803 10429 19606 20858 29409 31287 49015 52145 58818 62574 88227 93861 98030 104290 107833 114719 147045 156435 176454 187722 215666 229438 294090 312870 323499 344157 441135 469305 539165 573595 646998 688314 882270 938610 970497 1032471 1078330 1147190 1617495 1720785 1940994 2064942 3234990 3441570 4852485 5162355 9704970 10324710 102235487 204470974 306706461 511177435 613412922 920119383 1022354870 1124590357 1533532305 1840238766 2249180714 3067064610 3373771071 4600596915 5622951785 6747542142 9201193830 10121313213 11245903570 16868855355 20242626426 33737710710 50606566065 101213132130