Search a number
-
+
101002202001020 = 225173178157122609
BaseRepresentation
bin10110111101110001101000…
…010111110010111001111100
3111020121201100010012012022002
4112331301220113302321330
5101214310002203013040
6554451434313441432
730163111502453315
oct2675615027627174
9436551303165262
10101002202001020
112a20087a9a9021
12b3b2aa1110278
13444860b693b68
141ad276589760c
15ba24744eaa15
hex5bdc685f2e7c

101002202001020 has 96 divisors (see below), whose sum is σ = 231830783976960. Its totient is φ = 36796995256320.

The previous prime is 101002202001017. The next prime is 101002202001059. The reversal of 101002202001020 is 20100202200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101002202000992 and 101002202001010.

It is a congruent number.

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, 823713476 + ... + 823836084.

It is an arithmetic number, because the mean of its divisors is an integer number (2414903999760).

Almost surely, 2101002202001020 is an apocalyptic number.

101002202001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002202001020 is an abundant number, since it is smaller than the sum of its proper divisors (130828581975940).

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

101002202001020 is a wasteful number, since it uses less digits than its factorization.

101002202001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200823 (or 200821 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101002202001020 its reverse (20100202200101), we get a palindrome (121102404201121).

The spelling of 101002202001020 in words is "one hundred one trillion, two billion, two hundred two million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 78157 122609 156314 245218 312628 390785 490436 613045 781570 1226090 1328669 1563140 2084353 2422867 2452180 2657338 3800879 4168706 4845734 5314676 6643345 7601758 8337412 9691468 10421765 12114335 13286690 15203516 19004395 20843530 24228670 26573380 38008790 41188739 41687060 48457340 64614943 76017580 82377478 129229886 164754956 205943695 258459772 323074715 411887390 646149430 823774780 1292298860 9582751613 19165503226 38331006452 47913758065 95827516130 162906777421 191655032260 297065300003 325813554842 594130600006 651627109684 814533887105 1188261200012 1485326500015 1629067774210 2970653000030 3258135548420 5050110100051 5941306000060 10100220200102 20200440400204 25250550500255 50501101000510 101002202001020