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31100122130010 = 23553137281508087
BaseRepresentation
bin1110001001001000011111…
…01110110110011001011010
311002010010211222120101002120
413010210033232312121122
513034021022231130020
6150051110542242110
76356624006246013
oct704441756663132
9132103758511076
1031100122130010
119a0054018913a
1235a34b3b86336
131447962608aab
1479737ab6600a
1538debb351740
hex1c490fbb665a

31100122130010 has 128 divisors (see below), whose sum is σ = 76876462139904. Its totient is φ = 8048732590080.

The previous prime is 31100122129969. The next prime is 31100122130101. The reversal of 31100122130010 is 1003122100113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 60956187 + ... + 61464273.

It is an arithmetic number, because the mean of its divisors is an integer number (600597360468).

Almost surely, 231100122130010 is an apocalyptic number.

31100122130010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100122130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438231069952).

31100122130010 is an abundant number, since it is smaller than the sum of its proper divisors (45776340009894).

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

31100122130010 is a wasteful number, since it uses less digits than its factorization.

31100122130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508568.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31100122130010 its reverse (1003122100113), we get a palindrome (32103244230123).

The spelling of 31100122130010 in words is "thirty-one trillion, one hundred billion, one hundred twenty-two million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 137 159 265 274 281 318 411 530 562 685 795 822 843 1370 1405 1590 1686 2055 2810 4110 4215 7261 8430 14522 14893 21783 29786 36305 38497 43566 44679 72610 74465 76994 89358 108915 115491 148930 192485 217830 223395 230982 384970 446790 508087 577455 1016174 1154910 1524261 2040341 2540435 3048522 4080682 5080870 6121023 7621305 10201705 12242046 15242610 20403410 26928611 30605115 53857222 61210230 69607919 80785833 134643055 139215838 142772447 161571666 208823757 269286110 285544894 348039595 403929165 417647514 428317341 696079190 713862235 807858330 856634682 1044118785 1427724470 2088237570 2141586705 3689219707 4283173410 7378439414 7566939691 11067659121 15133879382 18446098535 19559825239 22135318242 22700819073 36892197070 37834698455 39119650478 45401638146 55338295605 58679475717 75669396910 97799126195 110676591210 113504095365 117358951434 195598252390 227008190730 293397378585 586794757170 1036670737667 2073341475334 3110012213001 5183353688335 6220024426002 10366707376670 15550061065005 31100122130010