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210002120400028 = 2211173183109114457
BaseRepresentation
bin101111101111111011101101…
…110010011101110010011100
31000112120000011211202210102011
4233233323231302131302130
5210011133320310300103
62022345350422041004
762143103212042315
oct5757735562356234
91015500154683364
10210002120400028
1160a05443249290
121b677999279164
1390241657c8778
1439c022a5cd60c
151942985228d6d
hexbefeedc9dc9c

210002120400028 has 96 divisors (see below), whose sum is σ = 443469090613248. Its totient is φ = 85894899763200.

The previous prime is 210002120399987. The next prime is 210002120400029. The reversal of 210002120400028 is 820004021200012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210002120399981 and 210002120400008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002120400029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52632625 + ... + 56481832.

It is an arithmetic number, because the mean of its divisors is an integer number (4619469693888).

Almost surely, 2210002120400028 is an apocalyptic number.

It is an amenable number.

210002120400028 is an abundant number, since it is smaller than the sum of its proper divisors (233466970213220).

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

210002120400028 is a wasteful number, since it uses less digits than its factorization.

210002120400028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109114603 (or 109114601 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 210002120400028 in words is "two hundred ten trillion, two billion, one hundred twenty million, four hundred thousand, twenty-eight".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 83 124 166 187 332 341 374 527 682 748 913 1054 1364 1411 1826 2108 2573 2822 3652 5146 5644 5797 10292 11594 15521 23188 28303 31042 43741 56606 62084 87482 113212 174964 481151 962302 1924604 109114457 218228914 436457828 1200259027 1854945769 2400518054 3382548167 3709891538 4801036108 6765096334 7419783076 9056499931 13530192668 18112999862 20404403459 36225999724 37208029837 40808806918 57503318839 74416059674 81617613836 99621499241 115006637678 148832119348 153960498827 199242998482 230013275356 280751497861 307920997654 398485996964 561502995722 615841995308 632536507229 1123005991444 1265073014458 1693565487097 2530146028916 3088266476471 3387130974194 4772775463637 6176532952942 6774261948388 9545550927274 12353065905884 19091101854548 52500530100007 105001060200014 210002120400028