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102000021002022 = 231121329372668161
BaseRepresentation
bin10111001100010010111011…
…000001001101011100100110
3111101011002212211200101121110
4113030102323001031130212
5101332132020334031042
61000534055053525450
730325154415151563
oct2714227301153446
9441132784611543
10102000021002022
112a555a697a2100
12b5343547a3886
1344bb739b51840
141b28b823ab86a
15bbd3c454a09c
hex5cc4bb04d726

102000021002022 has 96 divisors (see below), whose sum is σ = 249806922351840. Its totient is φ = 27547630387200.

The previous prime is 102000021001997. The next prime is 102000021002029. The reversal of 102000021002022 is 220200120000201.

It is a junction number, because it is equal to n+sod(n) for n = 102000021001989 and 102000021002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000021002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186060379 + ... + 186607782.

It is an arithmetic number, because the mean of its divisors is an integer number (2602155441165).

Almost surely, 2102000021002022 is an apocalyptic number.

102000021002022 is an abundant number, since it is smaller than the sum of its proper divisors (147806901349818).

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

102000021002022 is a wasteful number, since it uses less digits than its factorization.

102000021002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372668230 (or 372668219 counting only the distinct ones).

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

Adding to 102000021002022 its reverse (220200120000201), we get a palindrome (322200141002223).

It can be divided in two parts, 1020000 and 21002022, that added together give a palindrome (22022022).

The spelling of 102000021002022 in words is "one hundred two trillion, twenty-one million, two thousand, twenty-two".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 121 143 174 242 286 319 363 377 429 638 726 754 858 957 1131 1573 1914 2262 3146 3509 4147 4719 7018 8294 9438 10527 12441 21054 24882 45617 91234 136851 273702 372668161 745336322 1118004483 2236008966 4099349771 4844686093 8198699542 9689372186 10807376669 12298049313 14534058279 21614753338 24596098626 29068116558 32422130007 45092847481 53291547023 64844260014 90185694962 106583094046 118881143359 135278542443 140495896697 159874641069 237762286718 270557084886 280991793394 319749282138 356643430077 421487690091 586207017253 713286860154 842975380182 1172414034506 1307692576949 1545454863667 1758621051759 2615385153898 3090909727334 3517242103518 3923077730847 4636364591001 7846155461694 9272729182002 17000003500337 34000007000674 51000010501011 102000021002022