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1002022400034 = 234151197207931
BaseRepresentation
bin11101001010011010011…
…00000111000000100010
310112210101122220222210000
432211031030013000202
5112404120213300114
62044153413320430
7132252022604025
oct16451514070042
93483348828700
101002022400034
11356a56581a87
12142247336116
137364b286856
14366d8c931bc
151b0e90a0e09
hexe94d307022

1002022400034 has 80 divisors (see below), whose sum is σ = 2271625494336. Its totient is φ = 330109668000.

The previous prime is 1002022400033. The next prime is 1002022400039. The reversal of 1002022400034 is 4300042202001.

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

It is not an unprimeable number, because it can be changed into a prime (1002022400033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4715049 + ... + 4922979.

Almost surely, 21002022400034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002022400034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135812747168).

1002022400034 is an abundant number, since it is smaller than the sum of its proper divisors (1269603094302).

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

1002022400034 is a wasteful number, since it uses less digits than its factorization.

1002022400034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208293 (or 208284 counting only the distinct ones).

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

Adding to 1002022400034 its reverse (4300042202001), we get a palindrome (5302064602035).

The spelling of 1002022400034 in words is "one trillion, two billion, twenty-two million, four hundred thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 197 302 394 453 591 906 1182 1359 1773 2718 3546 4077 5319 8154 10638 12231 15957 24462 29747 31914 59494 89241 178482 207931 267723 415862 535446 623793 803169 1247586 1606338 1871379 2409507 3742758 4819014 5614137 11228274 16842411 31397581 33684822 40962407 62795162 81924814 94192743 122887221 188385486 245774442 282578229 368661663 565156458 737323326 847734687 1105984989 1695469374 2211969978 2543204061 3317954967 5086408122 6185323457 6635909934 12370646914 18555970371 37111940742 55667911113 111335822226 167003733339 334007466678 501011200017 1002022400034