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131412551120 = 24529436719661
BaseRepresentation
bin111101001100011001…
…1000110010111010000
3110120012100220021110222
41322120303012113100
54123113103113440
6140211535012212
712331345153124
oct1723063062720
9416170807428
10131412551120
1150805a60754
122157596a068
13c5137290b6
146508d27584
153641d872b5
hex1e98cc65d0

131412551120 has 160 divisors (see below), whose sum is σ = 328264168320. Its totient is φ = 48829777920.

The previous prime is 131412551113. The next prime is 131412551161. The reversal of 131412551120 is 21155214131.

131412551120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1314125511202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131412551120.

It is a congruent number.

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, 6674090 + ... + 6693750.

It is an arithmetic number, because the mean of its divisors is an integer number (2051651052).

Almost surely, 2131412551120 is an apocalyptic number.

131412551120 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 131412551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164132084160).

131412551120 is an abundant number, since it is smaller than the sum of its proper divisors (196851617200).

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

131412551120 is a wasteful number, since it uses less digits than its factorization.

131412551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19813 (or 19807 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 131412551120 its reverse (21155214131), we get a palindrome (152567765251).

The spelling of 131412551120 in words is "one hundred thirty-one billion, four hundred twelve million, five hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 67 80 86 116 134 145 172 215 232 268 290 335 344 430 464 536 580 670 688 860 1072 1160 1247 1340 1720 1943 2320 2494 2680 2881 3440 3886 4988 5360 5762 6235 7772 9715 9976 11524 12470 14405 15544 19430 19661 19952 23048 24940 28810 31088 38860 39322 46096 49880 57620 77720 78644 83549 98305 99760 115240 155440 157288 167098 196610 230480 314576 334196 393220 417745 570169 668392 786440 835490 845423 1140338 1317287 1336784 1572880 1670980 1690846 2280676 2634574 2850845 3341960 3381692 4227115 4561352 5269148 5701690 6586435 6683920 6763384 8454230 9122704 10538296 11403380 13172870 13526768 16908460 21076592 22806760 24517267 26345740 33816920 38201323 45613520 49034534 52691480 56643341 67633840 76402646 98069068 105382960 113286682 122586335 152805292 191006615 196138136 226573364 245172670 283216705 305610584 382013230 392276272 453146728 490345340 566433410 611221168 764026460 906293456 980690680 1132866820 1528052920 1642656889 1961381360 2265733640 3056105840 3285313778 4531467280 6570627556 8213284445 13141255112 16426568890 26282510224 32853137780 65706275560 131412551120