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23001113230032 = 24371991341725639
BaseRepresentation
bin1010011101011010111010…
…01011101111101011010000
310000102212220010110201121210
411032231131023233223100
511003322234441330112
6120530322054020120
74562530012413420
oct516553513575320
9100385803421553
1023001113230032
117368798864a33
1226b592a347640
13caacc3647422
1459738cd38480
1529d4a21c5b3c
hex14eb5d2efad0

23001113230032 has 160 divisors (see below), whose sum is σ = 68257043968000. Its totient is φ = 6537980427264.

The previous prime is 23001113229977. The next prime is 23001113230063. The reversal of 23001113230032 is 23003231110032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23001113229990 and 23001113230008.

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, 897101469 + ... + 897127107.

It is an arithmetic number, because the mean of its divisors is an integer number (426606524800).

Almost surely, 223001113230032 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 23001113230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34128521984000).

23001113230032 is an abundant number, since it is smaller than the sum of its proper divisors (45255930737968).

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

23001113230032 is a wasteful number, since it uses less digits than its factorization.

23001113230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39273 (or 39267 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23001113230032 its reverse (23003231110032), we get a palindrome (46004344340064).

The spelling of 23001113230032 in words is "twenty-three trillion, one billion, one hundred thirteen million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 336 398 597 796 1194 1393 1592 2388 2786 3184 4179 4776 5572 8358 9552 11144 13417 16716 22288 25639 26834 33432 40251 51278 53668 66864 76917 80502 93919 102556 107336 153834 161004 179473 187838 205112 214672 281757 307668 322008 358946 375676 410224 538419 563514 615336 644016 717892 751352 1076838 1127028 1230672 1435784 1502704 2153676 2254056 2669983 2871568 4307352 4508112 5102161 5339966 8009949 8614704 10204322 10679932 15306483 16019898 18689881 20408644 21359864 30612966 32039796 35715127 37379762 40817288 42719728 56069643 61225932 64079592 71430254 74759524 81634576 107145381 112139286 122451864 128159184 142860508 149519048 214290762 224278572 244903728 285721016 299038096 343998463 428581524 448557144 571442032 687996926 857163048 897114288 1031995389 1375993852 1714326096 2063990778 2407989241 2751987704 4127981556 4815978482 5503975408 7223967723 8255963112 9631956964 14447935446 16511926224 19263913928 28895870892 38527827856 57791741784 68455694137 115583483568 136911388274 205367082411 273822776548 410734164822 479189858959 547645553096 821468329644 958379717918 1095291106192 1437569576877 1642936659288 1916759435836 2875139153754 3285873318576 3833518871672 5750278307508 7667037743344 11500556615016 23001113230032