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1022432010102 = 233194314674951
BaseRepresentation
bin11101110000011011011…
…00100101111101110110
310121202002001012121102000
432320031230211331312
5113222420043310402
62101410534200130
7133603550456256
oct16701554457566
93552061177360
101022432010102
1136467a240118
121461a24b3046
1375551788cb9
14376b3721966
151b8e0c7cc1c
hexee0db25f76

1022432010102 has 128 divisors (see below), whose sum is σ = 2402821324800. Its totient is φ = 321369444000.

The previous prime is 1022432010071. The next prime is 1022432010113. The reversal of 1022432010102 is 2010102342201.

It is a happy number.

1022432010102 is a `hidden beast` number, since 10 + 224 + 320 + 10 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206507727 + ... + 206512677.

It is an arithmetic number, because the mean of its divisors is an integer number (18772041600).

Almost surely, 21022432010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022432010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201410662400).

1022432010102 is an abundant number, since it is smaller than the sum of its proper divisors (1380389314698).

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

1022432010102 is a wasteful number, since it uses less digits than its factorization.

1022432010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5873 counting only the distinct ones).

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

Adding to 1022432010102 its reverse (2010102342201), we get a palindrome (3032534352303).

The spelling of 1022432010102 in words is "one trillion, twenty-two billion, four hundred thirty-two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 431 467 513 862 934 1026 1293 1401 2586 2802 3879 4203 4951 7758 8189 8406 8873 9902 11637 12609 14853 16378 17746 23274 24567 25218 26619 29706 44559 49134 53238 73701 79857 89118 94069 133677 147402 159714 188138 201277 221103 239571 267354 282207 402554 442206 479142 564414 603831 846621 1207662 1693242 1811493 2133881 2312117 2539863 3622986 3824263 4267762 4624234 5079726 5434479 6401643 6936351 7648526 10868958 11472789 12803286 13872702 19204929 20809053 22945578 34418367 38409858 40543739 41618106 43930223 57614787 62427159 68836734 81087478 87860446 103255101 115229574 121631217 124854318 131790669 206510202 243262434 263581338 364893651 395372007 729787302 790744014 996522427 1094680953 1186116021 1993044854 2189361906 2372232042 2989567281 5979134562 8968701843 17937403686 18933926113 26906105529 37867852226 53812211058 56801778339 113603556678 170405335017 340810670034 511216005051 1022432010102