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23121000102420 = 223251137315601967
BaseRepresentation
bin1010100000111010001101…
…11111110111101000010100
310000212100100020202212012200
411100131012333313220110
511012303302011234140
6121101350225444500
74604302636126623
oct520350677675024
9100770306685180
1023121000102420
117404619881660
1227150081a0730
13cb93bb27297c
1459d0c32336ba
152a166c282030
hex150746ff7a14

23121000102420 has 144 divisors (see below), whose sum is σ = 78577315584768. Its totient is φ = 5453601972480.

The previous prime is 23121000102359. The next prime is 23121000102439. The reversal of 23121000102420 is 2420100012132.

It is a happy number.

23121000102420 is a `hidden beast` number, since 2 + 31 + 210 + 0 + 0 + 1 + 0 + 2 + 420 = 666.

It is a super-2 number, since 2×231210001024202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23121000102393 and 23121000102402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157727724 + ... + 157874243.

It is an arithmetic number, because the mean of its divisors is an integer number (545675802672).

Almost surely, 223121000102420 is an apocalyptic number.

23121000102420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121000102420 is an abundant number, since it is smaller than the sum of its proper divisors (55456315482348).

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

23121000102420 is a wasteful number, since it uses less digits than its factorization.

23121000102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315602030 (or 315602025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23121000102420 its reverse (2420100012132), we get a palindrome (25541100114552).

The spelling of 23121000102420 in words is "twenty-three trillion, one hundred twenty-one billion, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 315601967 631203934 946805901 1262407868 1578009835 1893611802 2840417703 3156019670 3471621637 3787223604 4734029505 5680835406 6312039340 6943243274 9468059010 10414864911 11361670812 11677272779 13886486548 14202088515 17358108185 18936118020 20829729822 23354545558 28404177030 31244594733 34716216370 35031818337 41659459644 46709091116 52074324555 56808354060 58386363895 62489189466 69432432740 70063636674 104148649110 105095455011 116772727790 124978378932 128450000569 140127273348 156222973665 175159091685 208297298220 210190910022 233545455580 256900001138 312445947330 350318183370 385350001707 420381820044 513800002276 525477275055 624891894660 642250002845 700636366740 770700003414 1050954550110 1156050005121 1284500005690 1541400006828 1926750008535 2101909100220 2312100010242 2569000011380 3853500017070 4624200020484 5780250025605 7707000034140 11560500051210 23121000102420