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23042211104 = 25111011673881
BaseRepresentation
bin10101011101011011…
…000011110100100000
32012110211222121100002
4111131123003310200
5334142301223404
614330242315132
71444002364013
oct253533036440
965424877302
1023042211104
119854800280
124570958aa8
132232a4b253
14118835937a
158ecd9bc1e
hex55d6c3d20

23042211104 has 96 divisors (see below), whose sum is σ = 50290595712. Its totient is φ = 10305280000.

The previous prime is 23042211089. The next prime is 23042211119. The reversal of 23042211104 is 40111224032.

It is an interprime number because it is at equal distance from previous prime (23042211089) and next prime (23042211119).

It is a super-2 number, since 2×230422111042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5935244 + ... + 5939124.

It is an arithmetic number, because the mean of its divisors is an integer number (523860372).

Almost surely, 223042211104 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 23042211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25145297856).

23042211104 is an abundant number, since it is smaller than the sum of its proper divisors (27248384608).

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

23042211104 is a wasteful number, since it uses less digits than its factorization.

23042211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 23042211104 its reverse (40111224032), we get a palindrome (63153435136).

The spelling of 23042211104 in words is "twenty-three billion, forty-two million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 167 176 202 334 352 404 668 808 1111 1336 1616 1837 2222 2672 3232 3674 3881 4444 5344 7348 7762 8888 14696 15524 16867 17776 29392 31048 33734 35552 42691 58784 62096 67468 85382 124192 134936 170764 185537 269872 341528 371074 391981 539744 648127 683056 742148 783962 1296254 1366112 1484296 1567924 2592508 2968592 3135848 4311791 5185016 5937184 6271696 7129397 8623582 10370032 12543392 14258794 17247164 20740064 28517588 34494328 57035176 65460827 68988656 114070352 130921654 137977312 228140704 261843308 523686616 720069097 1047373232 1440138194 2094746464 2880276388 5760552776 11521105552 23042211104