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103130312210211 = 311131312356777867
BaseRepresentation
bin10111011100101111100101…
…100111111111011100100011
3111112011011100202222222020210
4113130233211213333130203
5102004141334411211321
61003201224505105203
730502630163666466
oct2734574547773443
9445134322888223
10103130312210211
112a951357706150
12b697418a88203
1345711ba432030
141b677688452dd
15bdc9c9498b76
hex5dcbe59ff723

103130312210211 has 64 divisors (see below), whose sum is σ = 162788962000896. Its totient is φ = 57251692867200.

The previous prime is 103130312210203. The next prime is 103130312210213. The reversal of 103130312210211 is 112012213031301.

It is not a de Polignac number, because 103130312210211 - 23 = 103130312210203 is a prime.

It is a super-2 number, since 2×1031303122102112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103130312210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1324402900 + ... + 1324480766.

It is an arithmetic number, because the mean of its divisors is an integer number (2543577531264).

Almost surely, 2103130312210211 is an apocalyptic number.

103130312210211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103130312210211 is a deficient number, since it is larger than the sum of its proper divisors (59658649790685).

103130312210211 is a wasteful number, since it uses less digits than its factorization.

103130312210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101592.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 103130312210211 its reverse (112012213031301), we get a palindrome (215142525241512).

The spelling of 103130312210211 in words is "one hundred three trillion, one hundred thirty billion, three hundred twelve million, two hundred ten thousand, two hundred eleven".

Divisors: 1 3 11 13 33 39 131 143 393 429 1441 1703 4323 5109 18733 23567 56199 70701 77867 233601 259237 306371 777711 856537 919113 1012271 2569611 3036813 3087277 3370081 9261831 10110243 10200577 11134981 30601731 33404943 33960047 40134601 101880141 112206347 120403803 132607501 336619041 397822503 441480611 1324441833 1458682511 1835091589 4376047533 5505274767 20186007479 23856190657 60558022437 71568571971 240396998159 262418097227 721190994477 787254291681 2644366979749 3125160976067 7933100939247 9375482928201 34376770736737 103130312210211