Search a number
-
+
31233220120100 = 225247162719332113
BaseRepresentation
bin1110001101000000011001…
…11111011000111000100100
311002120212101210220211012002
413012200030333120320210
513043211113322320400
6150232202050144432
76402345211430315
oct706401477307044
9132525353824162
1031233220120100
119a51a30567059
12360525a282118
13145738428384b
1479d9a586460c
153926ab162ed5
hex1c680cfd8e24

31233220120100 has 144 divisors (see below), whose sum is σ = 69329301474048. Its totient is φ = 12207856066560.

The previous prime is 31233220120079. The next prime is 31233220120153. The reversal of 31233220120100 is 102102233213.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14781456644 + ... + 14781458756.

Almost surely, 231233220120100 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 31233220120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664650737024).

31233220120100 is an abundant number, since it is smaller than the sum of its proper divisors (38096081353948).

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

31233220120100 is a wasteful number, since it uses less digits than its factorization.

31233220120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31233220120100 its reverse (102102233213), we get a palindrome (31335322353313).

The spelling of 31233220120100 in words is "thirty-one trillion, two hundred thirty-three billion, two hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1627 1933 2113 2350 3254 3866 4226 4700 6508 7732 8135 8452 9665 10565 16270 19330 21130 32540 38660 40675 42260 48325 52825 76469 81350 90851 96650 99311 105650 152938 162700 181702 193300 198622 211300 305876 363404 382345 397244 454255 496555 764690 908510 993110 1529380 1817020 1911725 1986220 2271275 2482775 3144991 3437851 3823450 4084429 4542550 4965550 6289982 6875702 7646900 8168858 9085100 9931100 12579964 13751404 15724955 16337716 17189255 20422145 31449910 34378510 40844290 62899820 68757020 78624775 81688580 85946275 102110725 147814577 157249550 161578997 171892550 191968163 204221450 295629154 314499100 323157994 343785100 383936326 408442900 591258308 646315988 739072885 767872652 807894985 959840815 1478145770 1615789970 1919681630 2956291540 3231579940 3695364425 3839363260 4039474925 4799204075 6645365983 7390728850 8078949850 9598408150 13290731966 14781457700 16157899700 19196816300 26581463932 33226829915 66453659830 132907319660 166134149575 312332201201 332268299150 624664402402 664536598300 1249328804804 1561661006005 3123322012010 6246644024020 7808305030025 15616610060050 31233220120100