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23001323133120 = 2635201111914327
BaseRepresentation
bin1010011101011011010011…
…01100011101100011000000
310000102220102202102220112020
411032231221230131203000
511003323202210224440
6120530354553001440
74562535141514653
oct516555154354300
9100386382386466
1023001323133120
1173688962a1262
1226b59886b3280
13cab027c8b137
145973acb7789a
1529d4b58393d0
hex14eb69b1d8c0

23001323133120 has 112 divisors (see below), whose sum is σ = 73065521948928. Its totient is φ = 6130635586560.

The previous prime is 23001323133101. The next prime is 23001323133137. The reversal of 23001323133120 is 2133132310032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026604 + ... + 7887723.

Almost surely, 223001323133120 is an apocalyptic number.

23001323133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001323133120 is an abundant number, since it is smaller than the sum of its proper divisors (50064198815808).

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

23001323133120 is a wasteful number, since it uses less digits than its factorization.

23001323133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11916358 (or 11916348 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23001323133120 its reverse (2133132310032), we get a palindrome (25134455443152).

The spelling of 23001323133120 in words is "twenty-three trillion, one billion, three hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2011 4022 6033 8044 10055 12066 16088 20110 24132 30165 32176 40220 48264 60330 64352 80440 96528 120660 128704 160880 193056 241320 321760 386112 482640 643520 965280 1930560 11914327 23828654 35742981 47657308 59571635 71485962 95314616 119143270 142971924 178714905 190629232 238286540 285943848 357429810 381258464 476573080 571887696 714859620 762516928 953146160 1143775392 1429719240 1906292320 2287550784 2859438480 3812584640 5718876960 11437753920 23959711597 47919423194 71879134791 95838846388 119798557985 143758269582 191677692776 239597115970 287516539164 359395673955 383355385552 479194231940 575033078328 718791347910 766710771104 958388463880 1150066156656 1437582695820 1533421542208 1916776927760 2300132313312 2875165391640 3833553855520 4600264626624 5750330783280 7667107711040 11500661566560 23001323133120