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10112020113330 = 23256112829143573
BaseRepresentation
bin1001001100100110001101…
…0111011110011110110010
31022210200220001211121201200
42103021203113132132302
52311133404122111310
633301221540512030
72062366166530062
oct223114327363662
938720801747650
1010112020113330
113249535809183
12117393b0ab616
13584737022655
1426d5d27253a2
151280845729c0
hex932635de7b2

10112020113330 has 96 divisors (see below), whose sum is σ = 26724525525360. Its totient is φ = 2652107927040.

The previous prime is 10112020113317. The next prime is 10112020113379. The reversal of 10112020113330 is 3331102021101.

10112020113330 is a `hidden beast` number, since 1 + 0 + 1 + 120 + 201 + 13 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5774135061249 + 4337885052081 = 2402943^2 + 2082759^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70359424 + ... + 70502996.

Almost surely, 210112020113330 is an apocalyptic number.

10112020113330 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 10112020113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362262762680).

10112020113330 is an abundant number, since it is smaller than the sum of its proper divisors (16612505412030).

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

10112020113330 is a wasteful number, since it uses less digits than its factorization.

10112020113330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156476 (or 156473 counting only the distinct ones).

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

Adding to 10112020113330 its reverse (3331102021101), we get a palindrome (13443122134431).

The spelling of 10112020113330 in words is "ten trillion, one hundred twelve billion, twenty million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 12829 25658 38487 64145 76974 115461 128290 143573 192435 230922 287146 384870 430719 577305 717865 782569 861438 1154610 1292157 1435730 1565138 2153595 2347707 2584314 3912845 4307190 4695414 6460785 7043121 7825690 8757953 11738535 12921570 14086242 17515906 23477070 26273859 35215605 43789765 52547718 70431210 78821577 87579530 131369295 157643154 262738590 394107885 788215770 1841898017 3683796034 5525694051 9209490085 11051388102 16577082153 18418980170 27628470255 33154164306 55256940510 82885410765 112355779037 165770821530 224711558074 337067337111 561778895185 674134674222 1011202011333 1123557790370 1685336685555 2022404022666 3370673371110 5056010056665 10112020113330