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211121101021120 = 2651795621405863
BaseRepresentation
bin110000000000001101110110…
…001110110001111111000000
31000200111222110112020000102021
4300000031312032301333000
5210133002003330133440
62025003410032131224
762316665460301513
oct6000156616617700
91020458415200367
10211121101021120
11612a6a57679894
121b818825696b14
1390a5832a17984
143a1c45c828d7a
151961b271d784a
hexc003763b1fc0

211121101021120 has 112 divisors (see below), whose sum is σ = 532311477928128. Its totient is φ = 79479858053120.

The previous prime is 211121101021109. The next prime is 211121101021133. The reversal of 211121101021120 is 21120101121112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211121101021094 and 211121101021103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519975309 + ... + 520381171.

Almost surely, 2211121101021120 is an apocalyptic number.

211121101021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121101021120 is an abundant number, since it is smaller than the sum of its proper divisors (321190376907008).

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

211121101021120 is a wasteful number, since it uses less digits than its factorization.

211121101021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501518 (or 501508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211121101021120 its reverse (21120101121112), we get a palindrome (232241202142232).

The spelling of 211121101021120 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 95621 191242 382484 405863 478105 764968 811726 956210 1529936 1623452 1625557 1912420 2029315 3059872 3246904 3251114 3824840 4058630 6119744 6493808 6502228 6899671 7649680 8117260 8127785 12987616 13004456 13799342 15299360 16234520 16255570 25975232 26008912 27598684 30598720 32469040 32511140 34498355 52017824 55197368 64938080 65022280 68996710 104035648 110394736 129876160 130044560 137993420 220789472 260089120 275986840 441578944 520178240 551973680 1103947360 2207894720 38809025923 77618051846 155236103692 194045129615 310472207384 388090259230 620944414768 659753440691 776180518460 1241888829536 1319506881382 1552361036920 2483777659072 2639013762764 3104722073840 3298767203455 5278027525528 6209444147680 6597534406910 10556055051056 12418888295360 13195068813820 21112110102112 26390137627640 42224220204224 52780275255280 105560550510560 211121101021120