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103234234220 = 225132953258331
BaseRepresentation
bin110000000100100111…
…1010110011101101100
3100212110120102110112022
41200021033112131230
53142410430443340
6115231455525312
710313145340535
oct1401117263554
9325416373468
10103234234220
113a866041147
1218010b29838
1399728a65c0
144dd47db68c
152a4314b3b5
hex18093d676c

103234234220 has 96 divisors (see below), whose sum is σ = 246076729920. Its totient is φ = 36108334080.

The previous prime is 103234234217. The next prime is 103234234237. The reversal of 103234234220 is 22432432301.

It is a super-2 number, since 2×1032342342202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 103234234220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270455 + ... + 528785.

It is an arithmetic number, because the mean of its divisors is an integer number (2563299270).

Almost surely, 2103234234220 is an apocalyptic number.

103234234220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103234234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123038364960).

103234234220 is an abundant number, since it is smaller than the sum of its proper divisors (142842495700).

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

103234234220 is a wasteful number, since it uses less digits than its factorization.

103234234220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258435 (or 258433 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 103234234220 its reverse (22432432301), we get a palindrome (125666666521).

The spelling of 103234234220 in words is "one hundred three billion, two hundred thirty-four million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 53 58 65 106 116 130 145 212 260 265 290 377 530 580 689 754 1060 1378 1508 1537 1885 2756 3074 3445 3770 6148 6890 7540 7685 13780 15370 19981 30740 39962 79924 99905 199810 258331 399620 516662 1033324 1291655 2583310 3358303 5166620 6716606 7491599 13433212 13691543 14983198 16791515 27383086 29966396 33583030 37457995 54766172 67166060 68457715 74915990 97390787 136915430 149831980 177990059 194781574 273830860 355980118 389563148 397054747 486953935 711960236 794109494 889950295 973907870 1588218988 1779900590 1947815740 1985273735 3559801180 3970547470 5161711711 7941094940 10323423422 20646846844 25808558555 51617117110 103234234220