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131121103100 = 2252137110913033
BaseRepresentation
bin111101000011101101…
…1010100000011111100
3110112110001111011221212
41322013123110003330
54122014000244400
6140123004143552
712321205662341
oct1720733240374
9415401434855
10131121103100
1150676498519
12214b4237bb8
13c498233a50
1464bc33c7c8
1536264b7335
hex1e876d40fc

131121103100 has 144 divisors (see below), whose sum is σ = 313610552640. Its totient is φ = 47290521600.

The previous prime is 131121103079. The next prime is 131121103117. The reversal of 131121103100 is 1301121131.

It is a happy number.

It is a super-2 number, since 2×1311211031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 10054184 + ... + 10067216.

It is an arithmetic number, because the mean of its divisors is an integer number (2177851060).

Almost surely, 2131121103100 is an apocalyptic number.

131121103100 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 131121103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156805276320).

131121103100 is an abundant number, since it is smaller than the sum of its proper divisors (182489449540).

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

131121103100 is a wasteful number, since it uses less digits than its factorization.

131121103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13240 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131121103100 its reverse (1301121131), we get a palindrome (132422224231).

The spelling of 131121103100 in words is "one hundred thirty-one billion, one hundred twenty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 109 130 142 218 260 284 325 355 436 545 650 710 923 1090 1300 1417 1420 1775 1846 2180 2725 2834 3550 3692 4615 5450 5668 7085 7100 7739 9230 10900 13033 14170 15478 18460 23075 26066 28340 30956 35425 38695 46150 52132 65165 70850 77390 92300 100607 130330 141700 154780 169429 193475 201214 260660 325825 338858 386950 402428 503035 651650 677716 773900 847145 925343 1006070 1303300 1420597 1694290 1850686 2012140 2515175 2841194 3388580 3701372 4235725 4626715 5030350 5682388 7102985 8471450 9253430 10060700 12029459 14205970 16942900 18467761 18506860 23133575 24058918 28411940 35514925 36935522 46267150 48117836 60147295 71029850 73871044 92338805 92534300 100862387 120294590 142059700 184677610 201724774 240589180 300736475 369355220 403449548 461694025 504311935 601472950 923388050 1008623870 1202945900 1311211031 1846776100 2017247740 2521559675 2622422062 5043119350 5244844124 6556055155 10086238700 13112110310 26224220620 32780275775 65560551550 131121103100