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31203013100 = 22527416311723
BaseRepresentation
bin11101000011110110…
…000011000111101100
32222112120222022002212
4131003312003013230
51002400432404400
622200124505552
72153145143450
oct350366030754
988476868085
1031203013100
1112262318636
1260699ab2b8
132c336a2b7c
141720120660
15c2955c335
hex743d831ec

31203013100 has 144 divisors (see below), whose sum is σ = 79442582016. Its totient is φ = 10414656000.

The previous prime is 31203013097. The next prime is 31203013109. The reversal of 31203013100 is 131030213.

It is a super-2 number, since 2×312030131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (31203013109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18108839 + ... + 18110561.

Almost surely, 231203013100 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 31203013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39721291008).

31203013100 is an abundant number, since it is smaller than the sum of its proper divisors (48239568916).

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

31203013100 is a wasteful number, since it uses less digits than its factorization.

31203013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31203013100 its reverse (131030213), we get a palindrome (31334043313).

The spelling of 31203013100 in words is "thirty-one billion, two hundred three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 631 700 820 1025 1148 1262 1435 1723 2050 2524 2870 3155 3446 4100 4417 5740 6310 6892 7175 8615 8834 12061 12620 14350 15775 17230 17668 22085 24122 25871 28700 31550 34460 43075 44170 48244 51742 60305 63100 70643 86150 88340 103484 110425 120610 129355 141286 172300 181097 220850 241220 258710 282572 301525 353215 362194 441700 494501 517420 603050 646775 706430 724388 905485 989002 1087213 1206100 1293550 1412860 1766075 1810970 1978004 2174426 2472505 2587100 3532150 3621940 4348852 4527425 4945010 5436065 7064300 7610491 9054850 9890020 10872130 12362525 15220982 18109700 21744260 24725050 27180325 30441964 38052455 44575733 49450100 54360650 76104910 89151466 108721300 152209820 178302932 190262275 222878665 312030131 380524550 445757330 624060262 761049100 891514660 1114393325 1248120524 1560150655 2228786650 3120301310 4457573300 6240602620 7800753275 15601506550 31203013100