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101213023440 = 24353137367673
BaseRepresentation
bin101111001000011000…
…1000010110011010000
3100200020201011022120210
41132100301002303100
53124241013222230
6114255134204120
710212103334664
oct1362061026320
9320221138523
10101213023440
1139a19127611
1217748053640
13970cc139a9
144c821c08a4
152975998eb0
hex1790c42cd0

101213023440 has 160 divisors (see below), whose sum is σ = 332636138496. Its totient is φ = 25413488640.

The previous prime is 101213023433. The next prime is 101213023519. The reversal of 101213023440 is 44320312101.

It is a super-2 number, since 2×1012130234402 (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 31 ways as a sum of consecutive naturals, for example, 91444 + ... + 459116.

Almost surely, 2101213023440 is an apocalyptic number.

101213023440 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 101213023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166318069248).

101213023440 is an abundant number, since it is smaller than the sum of its proper divisors (231423115056).

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

101213023440 is a wasteful number, since it uses less digits than its factorization.

101213023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367757 (or 367751 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101213023440 its reverse (44320312101), we get a palindrome (145533335541).

The spelling of 101213023440 in words is "one hundred one billion, two hundred thirteen million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 37 40 48 60 62 74 80 93 111 120 124 148 155 185 186 222 240 248 296 310 370 372 444 465 496 555 592 620 740 744 888 930 1110 1147 1240 1480 1488 1776 1860 2220 2294 2480 2960 3441 3720 4440 4588 5735 6882 7440 8880 9176 11470 13764 17205 18352 22940 27528 34410 45880 55056 68820 91760 137640 275280 367673 735346 1103019 1470692 1838365 2206038 2941384 3676730 4412076 5515095 5882768 7353460 8824152 11030190 11397863 13603901 14706920 17648304 22060380 22795726 27207802 29413840 34193589 40811703 44120760 45591452 54415604 56989315 68019505 68387178 81623406 88241520 91182904 108831208 113978630 136039010 136774356 163246812 170967945 182365808 204058515 217662416 227957260 272078020 273548712 326493624 341935890 408117030 421720931 455914520 544156040 547097424 652987248 683871780 816234060 843441862 911829040 1088312080 1265162793 1367743560 1632468120 1686883724 2108604655 2530325586 2735487120 3264936240 3373767448 4217209310 5060651172 6325813965 6747534896 8434418620 10121302344 12651627930 16868837240 20242604688 25303255860 33737674480 50606511720 101213023440