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214012231020 = 223257971751041
BaseRepresentation
bin1100011101010000011…
…1110111110101101100
3202110101212202202212200
43013110013313311230
512001244112343040
6242152120501500
721314264643330
oct3072407676554
9673355682780
10214012231020
1182842363815
123558831a890
1317248321233
14a50305d7c0
1558786c1630
hex31d41f7d6c

214012231020 has 144 divisors (see below), whose sum is σ = 749558042688. Its totient is φ = 48412753920.

The previous prime is 214012230997. The next prime is 214012231079. The reversal of 214012231020 is 20132210412.

It is a happy number.

214012231020 is a `hidden beast` number, since 21 + 401 + 223 + 1 + 0 + 20 = 666.

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 = 214012230984 and 214012231002.

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, 753301 + ... + 997740.

Almost surely, 2214012231020 is an apocalyptic number.

214012231020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214012231020 is an abundant number, since it is smaller than the sum of its proper divisors (535545811668).

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

214012231020 is a wasteful number, since it uses less digits than its factorization.

214012231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751160 (or 1751155 counting only the distinct ones).

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

Adding to 214012231020 its reverse (20132210412), we get a palindrome (234144441432).

The spelling of 214012231020 in words is "two hundred fourteen billion, twelve million, two hundred thirty-one thousand, 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 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8730 10185 12222 13580 17460 20370 24444 30555 40740 61110 122220 1751041 3502082 5253123 7004164 8755205 10506246 12257287 15759369 17510410 21012492 24514574 26265615 31518738 35020820 36771861 49029148 52531230 61286435 63037476 73543722 78796845 105062460 110315583 122572870 147087444 157593690 169850977 183859305 220631166 245145740 315187380 339701954 367718610 441262332 509552931 551577915 679403908 735437220 849254885 1019105862 1103155830 1188956839 1528658793 1698509770 2038211724 2206311660 2377913678 2547764655 3057317586 3397019540 3566870517 4755827356 5095529310 5944784195 6114635172 7133741034 7643293965 10191058620 10700611551 11889568390 14267482068 15286587930 17834352585 21401223102 23779136780 30573175860 35668705170 42802446204 53503057755 71337410340 107006115510 214012231020