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101030013204 = 2231931131910837
BaseRepresentation
bin101111000010111011…
…0111010100100010100
3100122202221210102201220
41132011312322210110
53123402140410304
6114225035450340
710204421641311
oct1360566724424
9318687712656
10101030013204
113993489928a
12176b68b69b0
1396b1027903
144c65b81d08
152964898ad9
hex1785dba914

101030013204 has 96 divisors (see below), whose sum is σ = 256366387200. Its totient is φ = 30848791680.

The previous prime is 101030013199. The next prime is 101030013209. The reversal of 101030013204 is 402310030101.

It is an interprime number because it is at equal distance from previous prime (101030013199) and next prime (101030013209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030013209) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9317274 + ... + 9328110.

It is an arithmetic number, because the mean of its divisors is an integer number (2670483200).

Almost surely, 2101030013204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030013204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128183193600).

101030013204 is an abundant number, since it is smaller than the sum of its proper divisors (155336373996).

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

101030013204 is a wasteful number, since it uses less digits than its factorization.

101030013204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101030013204 its reverse (402310030101), we get a palindrome (503340043305).

The spelling of 101030013204 in words is "one hundred one billion, thirty million, thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1319 1767 2356 2638 3534 3957 5276 7068 7914 10837 15828 21674 25061 32511 40889 43348 50122 65022 75183 81778 100244 122667 130044 150366 163556 205903 245334 300732 335947 411806 490668 617709 671894 776891 823612 1007841 1235418 1343788 1553782 2015682 2330673 2470836 3107564 4031364 4661346 6382993 9322692 12765986 14294003 19148979 25531972 28588006 38297958 42882009 57176012 76595916 85764018 171528036 271586057 443114093 543172114 814758171 886228186 1086344228 1329342279 1629516342 1772456372 2658684558 3259032684 5317369116 8419167767 16838335534 25257503301 33676671068 50515006602 101030013204