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102000210223120 = 24511674057426421
BaseRepresentation
bin10111001100010011000110…
…010011000010000000010000
3111101011010101000201211011021
4113030103012103002000100
5101332132412304114440
61000534125533325224
730325162203413566
oct2714230623020020
9441133330654137
10102000210223120
112a556056592780
12b5343a8036814
1344bb76a1038a1
141b28b9d585a36
15bbd3d5e7584a
hex5cc4c64c2010

102000210223120 has 160 divisors (see below), whose sum is σ = 262636298165376. Its totient is φ = 36528297062400.

The previous prime is 102000210223117. The next prime is 102000210223151. The reversal of 102000210223120 is 21322012000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102000210223094 and 102000210223103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238987510 + ... + 239413930.

Almost surely, 2102000210223120 is an apocalyptic number.

102000210223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000210223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131318149082688).

102000210223120 is an abundant number, since it is smaller than the sum of its proper divisors (160636087942256).

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

102000210223120 is a wasteful number, since it uses less digits than its factorization.

102000210223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430569 (or 430563 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102000210223120 its reverse (21322012000201), we get a palindrome (123322222223321).

The spelling of 102000210223120 in words is "one hundred two trillion, two hundred ten million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 4057 5360 5896 7370 8114 11792 14740 16228 20285 29480 32456 40570 44627 58960 64912 81140 89254 162280 178508 223135 271819 324560 357016 426421 446270 543638 714032 852842 892540 1087276 1359095 1705684 1785080 2132105 2174552 2718190 2990009 3411368 3570160 4264210 4349104 4690631 5436380 5980018 6822736 8528420 9381262 10872760 11960036 14950045 17056840 18762524 21745520 23453155 23920072 28570207 29900090 34113680 37525048 46906310 47840144 57140414 59800180 75050096 93812620 114280828 119600360 142851035 187625240 228561656 239200720 285702070 314272277 375250480 457123312 571404140 628544554 1142808280 1257089108 1571361385 1729989997 2285616560 2514178216 3142722770 3459979994 5028356432 6285445540 6919959988 8649949985 12570891080 13839919976 17299899970 19029889967 25141782160 27679839952 34599799940 38059779934 69199599880 76119559868 95149449835 115909329799 138399199760 152239119736 190298899670 231818659598 304478239472 380597799340 463637319196 579546648995 761195598680 927274638392 1159093297990 1275002627789 1522391197360 1854549276784 2318186595980 2550005255578 4636373191960 5100010511156 6375013138945 9272746383920 10200021022312 12750026277890 20400042044624 25500052555780 51000105111560 102000210223120