Search a number
-
+
102220020001200 = 24352293290728157
BaseRepresentation
bin10111001111011111110011…
…111110110010100110110000
3111101221010201221121111111010
4113033133303332302212300
5101344233100110014300
61001223121235550520
730350103246613623
oct2717376376624660
9441833657544433
10102220020001200
112a6302a34693a2
12b56ab11a5b440
1345063ca587c2a
141b35692593dba
15bc3e9d5dda50
hex5cf7f3fb29b0

102220020001200 has 120 divisors (see below), whose sum is σ = 328562357569488. Its totient is φ = 27165638896640.

The previous prime is 102220020001199. The next prime is 102220020001279. The reversal of 102220020001200 is 2100020022201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145012479 + ... + 145715678.

Almost surely, 2102220020001200 is an apocalyptic number.

102220020001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220020001200 is an abundant number, since it is smaller than the sum of its proper divisors (226342337568288).

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

102220020001200 is a wasteful number, since it uses less digits than its factorization.

102220020001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290728471 (or 290728460 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102220020001200 its reverse (2100020022201), we get a palindrome (104320040023401).

The spelling of 102220020001200 in words is "one hundred two trillion, two hundred twenty billion, twenty million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 293 300 400 586 600 879 1172 1200 1465 1758 2344 2930 3516 4395 4688 5860 7032 7325 8790 11720 14064 14650 17580 21975 23440 29300 35160 43950 58600 70320 87900 117200 175800 351600 290728157 581456314 872184471 1162912628 1453640785 1744368942 2325825256 2907281570 3488737884 4360922355 4651650512 5814563140 6977475768 7268203925 8721844710 11629126280 13954951536 14536407850 17443689420 21804611775 23258252560 29072815700 34887378840 43609223550 58145631400 69774757680 85183350001 87218447100 116291262800 170366700002 174436894200 255550050003 340733400004 348873788400 425916750005 511100100006 681466800008 851833500010 1022200200012 1277750250015 1362933600016 1703667000020 2044400400024 2129583750025 2555500500030 3407334000040 4088800800048 4259167500050 5111001000060 6388751250075 6814668000080 8518335000100 10222002000120 12777502500150 17036670000200 20444004000240 25555005000300 34073340000400 51110010000600 102220020001200