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31004022420 = 22325779311473
BaseRepresentation
bin11100110111111110…
…111101011010010100
32222000201112112012200
4130313332331122110
51001444012204140
622124255444500
72145210561630
oct346776753224
988021475180
1031004022420
111216aa64a28
126013226730
132c013b00c7
141701921dc0
15c16d52030
hex737fbd694

31004022420 has 144 divisors (see below), whose sum is σ = 108841474560. Its totient is φ = 6996907008.

The previous prime is 31004022383. The next prime is 31004022451. The reversal of 31004022420 is 2422040013.

It is a super-2 number, since 2×310040224202 (a number of 22 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 = 31004022393 and 31004022402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56197 + ... + 255276.

Almost surely, 231004022420 is an apocalyptic number.

31004022420 is a gapful number since it is divisible by the number (30) 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 31004022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54420737280).

31004022420 is an abundant number, since it is smaller than the sum of its proper divisors (77837452140).

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

31004022420 is a wasteful number, since it uses less digits than its factorization.

31004022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311574 (or 311569 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 31004022420 its reverse (2422040013), we get a palindrome (33426062433).

The spelling of 31004022420 in words is "thirty-one billion, four million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 79 84 90 105 126 140 158 180 210 237 252 315 316 395 420 474 553 630 711 790 948 1106 1185 1260 1422 1580 1659 2212 2370 2765 2844 3318 3555 4740 4977 5530 6636 7110 8295 9954 11060 14220 16590 19908 24885 33180 49770 99540 311473 622946 934419 1245892 1557365 1868838 2180311 2803257 3114730 3737676 4360622 4672095 5606514 6229460 6540933 8721244 9344190 10901555 11213028 13081866 14016285 18688380 19622799 21803110 24606367 26163732 28032570 32704665 39245598 43606220 49212734 56065140 65409330 73819101 78491196 98113995 98425468 123031835 130818660 147638202 172244569 196227990 221457303 246063670 295276404 344489138 369095505 392455980 442914606 492127340 516733707 688978276 738191010 861222845 885829212 1033467414 1107286515 1476382020 1550201121 1722445690 2066934828 2214573030 2583668535 3100402242 3444891380 4429146060 5167337070 6200804484 7751005605 10334674140 15502011210 31004022420